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41313100 = 22521273253
BaseRepresentation
bin1001110110011…
…0001101001100
32212201220220211
42131212031030
541034004400
64033252204
71011104233
oct235461514
985656824
1041313100
1121358164
1211a04064
13873642a
1456b5b1a
153960dba
hex276634c

41313100 has 36 divisors (see below), whose sum is σ = 90383104. Its totient is φ = 16390080.

The previous prime is 41313089. The next prime is 41313119. The reversal of 41313100 is 131314.

41313100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413131002 = 3413544463220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11074 + ... + 14326.

Almost surely, 241313100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45191552).

41313100 is an abundant number, since it is smaller than the sum of its proper divisors (49070004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41313100 is a wasteful number, since it uses less digits than its factorization.

41313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 41313100 is about 6427.5267405122. The cubic root of 41313100 is about 345.6972526336.

Adding to 41313100 its reverse (131314), we get a palindrome (41444414).

The spelling of 41313100 in words is "forty-one million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 3253 6350 6506 12700 13012 16265 32530 65060 81325 162650 325300 413131 826262 1652524 2065655 4131310 8262620 10328275 20656550 41313100